%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC026+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:20 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 2 def)
% Number of atoms : 94 ( 56 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 103 ( 35 ~; 32 |; 26 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( nil != X3
& nil = X2 )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( nil != X3
& nil = X2 )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil = X3
| nil != X2 )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil = X3
| nil != X2 )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f411,plain,
( nil = sK47
| nil = sK48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
( nil != sK48
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
( nil != sK49
| nil = sK50 ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
( nil != sK50
| nil != sK49 ),
inference(definition_unfolding,[],[f412,f417,f416]) ).
fof(f424,plain,
( nil = sK49
| nil = sK50 ),
inference(definition_unfolding,[],[f411,f416,f417]) ).
fof(f536,definition,
( spl51_1
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f540,definition,
( spl51_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f543,plain,
( spl51_1
| spl51_2 ),
inference(avatar_split_clause,[],[f424,f540,f536]) ).
fof(f544,plain,
( ~ spl51_2
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f423,f536,f540]) ).
fof(f545,plain,
( spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f413,f540,f536]) ).
fof(f546,plain,
( spl51_2
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f414,f536,f540]) ).
cnf(s1,plain,
( spl51_1
| spl51_2 ),
inference(sat_conversion,[],[f543]) ).
cnf(s2,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f544]) ).
cnf(s3,plain,
( spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f545]) ).
cnf(s4,plain,
( ~ spl51_1
| spl51_2 ),
inference(sat_conversion,[],[f546]) ).
cnf(s18,plain,
spl51_1,
inference(rat,[],[s1,s3]) ).
cnf(s19,plain,
spl51_2,
inference(rat,[],[s4,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s19,s18]) ).
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC026+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:30:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % (622261)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (622267)% WARNING: option uhcvi not known.
% 0.11/0.46 % (622267)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=667141390:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (622267) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-622261-622267"...
% 0.11/0.46 % (622267)...printing done.
% 0.11/0.46 % (622267)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (622267)------------------------------
% 0.11/0.46 % (622267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (622267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (622267)CaDiCaL version: 2.1.3
% 0.11/0.46 % (622267)Termination reason: Refutation
% 0.11/0.46 % (622267)Time elapsed: 0.004 s
% 0.11/0.46 % (622267)Peak memory usage: 12 MB
% 0.11/0.46 % (622267)Instructions burned: 9 (million)
% 0.11/0.46 % (622261)Success in time 0.035 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------